Question

Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?

Answer 1

Answer:

1st Option

Step-by-step explanation:

Average rate of change formula: $\frac{f(a) - f(b)}{a-b}$

Simply plug in 8 as a and 6 as b.

Answer 2

Answer:

A.

Step-by-step explanation:

Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)

[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =$\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}$